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Kitty [74]
4 years ago
13

9.09 repeating as a fraction

Mathematics
1 answer:
rjkz [21]4 years ago
7 0
9.09 as a fraction would be 9 9/100
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Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w
never [62]

<u>Answer-</u>

\boxed{\boxed{x=90^{\circ},270^{\circ}}}

<u>Solution-</u>

The given equation-

\Rightarrow 2\sin^2 x-\cos^2 x-2=0

As

\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x

Putting this,

\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0

\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0

\Rightarrow 3\sin^2 x-3=0

\Rightarrow 3\sin^2 x=3

\Rightarrow \sin^2 x=1

\Rightarrow \sin x=\sqrt1

\Rightarrow \sin x=\pm 1

\Rightarrow \sin x=1,\ \sin x=-1

\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)

\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

\Rightarrow x=90^{\circ},\ x=270^{\circ}


3 0
4 years ago
Factor the expression
Alex777 [14]
Factor the equation using difference of squares, which says that a^2-2ab+b^2=(a-b)^2.

a is 2 since the square root of 4 is 2 and b is 5 because the square root of 25 is 5.

Final answer: (2x-5y)^2
8 0
3 years ago
The sum of two numbers is four and their product is ten. If one number is x, write an expression for the other number ​
lyudmila [28]

Answer:

4y - y^2 = 10

Step-by-step explanation:

Let x and y be the two numbers

x+y = 4

xy = 10

Taking the first equation and solving for x

x = 4-y

Substituting this into the second equation

(4-y) *y = 10

4y - y^2 = 10

3 0
4 years ago
Evaluate the expression when x=-2 y=3 and z = -1/5<br> xyz=
lakkis [162]

Answer:

33

Step-by-step explanation:

6 0
3 years ago
One number is 7 less than a second number. Twice the second number is 7 less than 5 times the first. Find the smaller of two num
aliya0001 [1]
N = x-7
2x = 5n-7

2x = 5(x-7)-7
2x=5x-35-7
-3x=-42
x=14
n=7

7 is the answer
8 0
4 years ago
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